(5x-30)+(3x+6)=180

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Solution for (5x-30)+(3x+6)=180 equation:


Simplifying
(5x + -30) + (3x + 6) = 180

Reorder the terms:
(-30 + 5x) + (3x + 6) = 180

Remove parenthesis around (-30 + 5x)
-30 + 5x + (3x + 6) = 180

Reorder the terms:
-30 + 5x + (6 + 3x) = 180

Remove parenthesis around (6 + 3x)
-30 + 5x + 6 + 3x = 180

Reorder the terms:
-30 + 6 + 5x + 3x = 180

Combine like terms: -30 + 6 = -24
-24 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
-24 + 8x = 180

Solving
-24 + 8x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '24' to each side of the equation.
-24 + 24 + 8x = 180 + 24

Combine like terms: -24 + 24 = 0
0 + 8x = 180 + 24
8x = 180 + 24

Combine like terms: 180 + 24 = 204
8x = 204

Divide each side by '8'.
x = 25.5

Simplifying
x = 25.5

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